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                消防站                </h1>
                <p>时间限制：2s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div style="text-indent: 21pt">某个城市有N个区域，这些区域用1到N这N个正整数编号，并且它们之间通过N-1条道路相连，保证任意两个区域有路径相通。对于每个区域i,有一个正整数权值w(i)。记d(u,v)为区域u和区域v之间的距离，表示它们之间唯一的一条路径的边数。若u和v为同一个区域，则d(u,v)=0。</div>
<div style="text-indent: 21pt">现在要选择两个区域建立消防站，你的任务是找出这两个不同的区域x和y使得以下的表达式S(x，y)的值最小。</div>
<p><img alt="" src="../file/2447_0.jpg" /></p></p><hr/><h3>输入格式</h3><p><div class="Section0" style="layout-grid:  15.6pt none">
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'">共<font face="Times New Roman">N+1</font><font face="宋体">行。&nbsp;</font></span><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'">第一行有一个正整数<font face="Times New Roman">N</font><font face="宋体">，表示区域的个数。&nbsp;</font></span><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'">接下来有<font face="Times New Roman">N-1</font><font face="宋体">行，每行两个整数</font><font face="Times New Roman">u</font><font face="宋体">、</font><font face="Times New Roman">v</font><font face="宋体">，表述区域</font><font face="Times New Roman">u</font><font face="宋体">和区域</font><font face="Times New Roman">v</font><font face="宋体">之间有一条道路。&nbsp;</font></span><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'">最后一行有<font face="Times New Roman">N</font><font face="宋体">个正整数，第</font><font face="Times New Roman">i</font><font face="宋体">个正整数表示区域</font><font face="Times New Roman">i</font><font face="宋体">的权值</font><font face="Times New Roman">W(i)</font><font face="宋体">。&nbsp;</font></span><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
</div>
<!--EndFragment--></p><hr/><h3>输出格式</h3><p><p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'">包含一个正整数，为最小的<font face="Times New Roman">S(x,&nbsp;y)</font><font face="宋体">的值。&nbsp;</font></span><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p></p><hr/><h3>样例输入</h3><pre>5


1 2


1 3


3 4


3 5


5 7 6 5 4 




</pre><hr/><h3>样例输出</h3><pre>14


</pre><hr/><h3>提示</h3><p><p>【样例解释】</p>
<p><br />
选取区域2和区域3。</p>
<p><br />
【数据规模和约定】</p>
<p><br />
用H表示距离区域1最远结点的距离，即d(1, u)的最大值。</p>
<p><br />
对于30%的数据满足：2 &le; N &le; 300</p>
<p><br />
余下70%的数据满足：2 &le; N &le; 50000、H &le; 70、W(i) &le; 100<br />
</p></p><hr/><h3>题目来源</h3><p>2011福建集训</p>
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